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14404232404023 = 37116137312972113
BaseRepresentation
bin1101000110011011111100…
…1001111101110000110111
31220000000211201111201120220
43101212333021331300313
53341444331443412043
650345114002225423
73014446210162650
oct321467711756067
956000751451526
1014404232404023
114653889746850
121747778355273
1380640c3a5267
1437b2507a0527
1519ea49177483
hexd19bf27dc37

14404232404023 has 128 divisors (see below), whose sum is σ = 24432853530624. Its totient is φ = 7331187916800.

The previous prime is 14404232403943. The next prime is 14404232404027. The reversal of 14404232404023 is 32040423240441.

It is not a de Polignac number, because 14404232404023 - 28 = 14404232403767 is a prime.

It is a super-2 number, since 2×144042324040232 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14404232404027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6816957015 + ... + 6816959127.

It is an arithmetic number, because the mean of its divisors is an integer number (190881668208).

Almost surely, 214404232404023 is an apocalyptic number.

14404232404023 is a deficient number, since it is larger than the sum of its proper divisors (10028621126601).

14404232404023 is a wasteful number, since it uses less digits than its factorization.

14404232404023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865.

The product of its (nonzero) digits is 73728, while the sum is 33.

Adding to 14404232404023 its reverse (32040423240441), we get a palindrome (46444655644464).

The spelling of 14404232404023 in words is "fourteen trillion, four hundred four billion, two hundred thirty-two million, four hundred four thousand, twenty-three".

Divisors: 1 3 7 11 21 33 61 77 183 231 373 427 671 1119 1281 1297 2013 2113 2611 3891 4103 4697 6339 7833 9079 12309 14091 14267 14791 22753 23243 27237 28721 42801 44373 68259 69729 79117 86163 99869 128893 159271 162701 237351 250283 299607 386679 477813 483781 488103 553819 750849 788149 870287 902251 1417823 1451343 1661457 1751981 2364447 2610861 2706753 2740561 3386467 4253469 5255943 5321591 5517043 6092009 8221683 8669639 9924761 10159401 15964773 16551129 18276027 19183927 26008917 29510641 29774283 30146171 37251137 48077089 57551781 60687473 88531923 90438513 111753411 144231267 167174221 182062419 206574487 211023197 324617051 336539623 501522663 528847979 619723461 633069591 973851153 1009618869 1022229253 1170219547 1586543937 1838916431 2272319357 3066687759 3510658641 3701935853 5516749293 6816958071 7155604771 11105807559 11244521783 12872415017 21466814313 33733565349 38617245051 62355984433 78711652481 187067953299 236134957443 436491891031 685915828763 1309475673093 2057747486289 4801410801341 14404232404023